Per TMZ Sports, Jones was at the Hartsfield-Jackson International Airport on Tuesday night when Frank Ragin "made a gesture" toward him.
Police said the two exchanged words before a fight ensued, with Ragin -- who is an employee of the cleaning company ABM -- causing a laceration to Jones' face following a strike with a closed fist.
TMZ reported that police said Ragin also hit Jones' female companion, injuring her hand.
Police determined that Ragin was the primary aggressor, and he was arrested on two counts of battery. Ragin was taken to an area hospital to be treated for his injuries.
Although Jones reportedly wasn't at fault, the 34-year-old has found himself in situations in which the police were required to get involved.
Most recently, Jones pleaded guilty to obstructing police following a January 2017 altercation in downtown Cincinnati. Misdemeanor counts of assault and disorderly conduct were dismissed at the prosecution's request, and Jones received time served for the two days he spent in jail following his arrest.
A one-time Pro Bowler, Jones has collected 499 tackles and 16 interceptions in 139 career games with the Tennessee Titans, Dallas Cowboys and Cincinnati Bengals. He recorded 23 tackles and one interception in nine contests last season with the Bengals, who declined his option for 2018.